1ed17/16

This page is a stub. You can help the Xenharmonic Wiki by expanding it.

← 0ed17/16

1ed17/16

2ed17/16 →

Prime factorization	n/a
Step size	104.955 ¢
Octave	11\1ed17/16 (1154.51 ¢)
Twelfth	18\1ed17/16 (1889.2 ¢)
Consistency limit	3
Distinct consistency limit	3

1 equal division of 17/16 (abbreviated 1ed17/16) is a nonoctave tuning system that uses equal steps of 17/16, or about 105 ¢.

Harmonics

Approximation of harmonics in 1ed17/16

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-45.5	-12.8	+14.0	+47.5	+46.7	-10.3	-31.5	-25.5	+2.0	+46.9	+1.2
	Relative (%)	-43.3	-12.2	+13.3	+45.2	+44.5	-9.8	-30.0	-24.3	+1.9	+44.7	+1.2
Step		11	18	23	27	30	32	34	36	38	40	41

Approximation of harmonics in 1ed17/16 (continued)

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-32.4	+49.2	+34.7	+27.9	+27.9	+33.9	+45.3	-43.5	-23.0	+1.4	+29.4
	Relative (%)	-30.9	+46.9	+33.1	+26.6	+26.6	+32.3	+43.2	-41.4	-21.9	+1.3	+28.0
Step		42	44	45	46	47	48	49	49	50	51	52

Note that this tuning is fairly close to 18edt, although by patent val mapping 18edt maps ~17/16 inconsistently to 2\18edt instead of 1\18edt, while 1ed17/16 maps its own equave even more inconsistently, to 3\1ed17/16.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1, 12/11, 18/17, 20/19
1	105	8/7, 14/13

Music

Bryan Deister

• equal step 17/16 (2025)

See also

• 18edt — relative edt